Trig graph transformations

What is the range of y = sin x  ?

• {-1 < y < 1}
• {-1 ≤ y ≤ 1}
• {-1 < x < 1}
• {-1 ≤ x ≤ 1}

Tags

CCSS.HSF-IF.C.7E

What is the amplitude of the function
f(x) = -3cos x   ?

• -3
• 3
• 6
• -6

Tags

CCSS.HSF-IF.C.7E

What is the period of g(x) = sin x + 5   ?

• 185°
• 365°
• 180°
• 360°

Tags

CCSS.HSF.TF.A.4

In the graph shown, what is the value of A if the graph is of the function
f(x) = A sin (Bx) + D

• -2
• 2.5
• 3
• -3.5

Tags

CCSS.HSF-IF.C.7E

In the graph shown, what is the value of B if the graph is of the function
f(x) = A sin (Bx) + D

• 1
• 2
• 3
• -1

Tags

CCSS.HSF-IF.C.7E

In the graph shown, what is the value of D if the graph is of the function
f(x) = A sin (Bx) + D

• 1
• 0.5
• -0.5
• -2

Tags

CCSS.HSF-IF.C.7E

Which of
A sin B(x – C) + D
affects the period?

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7E

What does C do in the function
A sin B(x – C) + D
?

• Changes the amplitude
• Changes the period
• Changes the vertical position of the 'waves'
• Changes the horizontal position of the 'waves'

Tags

CCSS.HSF-IF.C.7E

What is the period in the function
-3 sin 2(x – 40°) + 7
?

• 720°
• 360°
• 180°
• 120°

Tags

CCSS.HSF.TF.A.4

What is the period?

• $2\pi$

• $3$

• $\frac{2\pi}{3}$

• $4$

Tags

CCSS.HSF.TF.A.4